Applications of Quantum Stochastic Processes in Quantum Optics

DOI10.1007/978-3-540-69365-9_6zbMath1153.81511OpenAlexW189307701WikidataQ62039416 ScholiaQ62039416MaRDI QIDQ5302304

Lue Bouten

Publication date: 7 January 2009

Published in: Quantum Potential Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-540-69365-9_6

Mathematics Subject Classification ID

Quantum optics (81V80) Noncommutative probability and statistics (46L53) Quantum stochastic calculus (81S25) Applications of operator theory in probability theory and statistics (47N30)

Cites Work

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• Quantum Ito's formula and stochastic evolutions
• Quantum stochastic calculus
• The weak coupling limit as a quantum functional central limit
• Extended weak coupling limit for Pauli-Fierz operators
• Quantum stochastic calculus and quantum nonlinear filtering
• On the generators of quantum dynamical semigroups
• On quantum stochastic differential equations with unbounded coefficients
• Conditional expectations in von Neumann algebras
• Quantum flows as Markovian limit of emission, absorption and scattering interactions
• Tensor Algebras Over Hilbert Spaces. I
• An Introduction to Quantum Filtering
• Probability with Martingales
• Stochastic Schrödinger equations
• On the optimal filtering of diffusion processes
• Evaluation of likelihood functions
• A PrioriOpen Loop Optimal Control of Continuous Time Stochastic Systems†

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